@InProceedings{colcombet_et_al:LIPIcs.ICALP.2019.44, author = {Colcombet, Thomas and Ouaknine, Jo\"{e}l and Semukhin, Pavel and Worrell, James}, title = {{On Reachability Problems for Low-Dimensional Matrix Semigroups}}, booktitle = {46th International Colloquium on Automata, Languages, and Programming (ICALP 2019)}, pages = {44:1--44:15}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-109-2}, ISSN = {1868-8969}, year = {2019}, volume = {132}, editor = {Baier, Christel and Chatzigiannakis, Ioannis and Flocchini, Paola and Leonardi, Stefano}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2019.44}, URN = {urn:nbn:de:0030-drops-106209}, doi = {10.4230/LIPIcs.ICALP.2019.44}, annote = {Keywords: membership problem, half-space reachability problem, matrix semigroups, Heisenberg group, general linear group} }